The face of a triangular-shaped guitar has an area of 52 square inches and a height of 13 inches. Write an equation to find the length of the base. Then find the length of the base of the guitar’s face.

Answer:

Step-by-step explanation:

Slope of the line is -7

Step-by-step explanation:

⇒ m = (113 - -41)/(-15 - 7)

       = 154/-22 = -7

Answer:

25x^2 + 30e^5x + 9 e^10

Step-by-step explanation:

Answer:

12 bags of popcorn and 4 sodas

Step-by-step explanation:

Quantity: Popcorn =3x       Sodas=x

Value: Sodas - $4.50, Popcorn - $1.50

Total Value: $36

3x(1.5)+4.5x=36

4.5x+4.5x=36

9x=36

x=4

Therefore, 12 bags of popcorn and 4 sodas

The number of sodas and popcorn Kirk bought is 4 and 12 respectively.

let

(4.50×x) + (1.50×3x) = 36

4.50x + 4.50x = 36

9x = 36

x = 36/9

x = 4

Therefore, the number of sodas bought,x is 4 and the number of popcorn bought, 3x = 3 × 4 = 12

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Answer:

Option C, 0

Step-by-step explanation:

Step 1:  Create improper fractions

-6 4/5 = -6*5/5 - 4/5 = -30/5 - 4/5 = -34/5

6 4/5 = 6 * 5/5 + 4/5 = 30/5 + 4/5 = 34/5

Step 2:  Add

-34/5 + 34/5

0

Answer: Option C, 0

Answer:

Answer is C: 0

Step-by-step explanation:

Answer: 3F+2F+4F+F=750

science fiction=225

mystery=150

biographies=300

fiction=75

Step-by-step explanation: To find the equation, read through the question and write down any important information, such as there are 2 twice as many mystery book as fiction books (2*fiction books=mystery books). Once you have all the information written down place it in an equation set equal to the total (750).

After you have found the equation, solve for the fiction books (F) by isolating the variable.  3F+2F+4F+F=750, 10F=750, F=750/10, F=75.

After that you plug 75 into the equation. Which would get you 3*75= 225 science fiction books 2*75= 150 mystery books and 4*75=300 biographies

To solve the problem, fantasy books (F) are used as the variable. The equation F + 3F + 2F + 4F = 750 is solved to find F = 75, leading to 75 fantasy books, 225 science fiction books, 150 mystery books, and 300 biographies.

The student is tasked with determining the number of books in each genre in a library, given certain ratios between the numbers of books in different genres. Let's use fantasy books (F) as our variable since all other genres are described in relation to fantasy books. According to the problem, there are three times as many science fiction books as fantasy books, twice as many mystery books as fantasy books, and four times as many biographies as fantasy books. The total number of books is 750.

The equation that represents the number of each type of book can be defined as:

F + 3F + 2F + 4F = 750

Combining like terms, we get:

10F = 750

Dividing both sides by 10, we find:

F = 75

Now that we have the number of fantasy books, we can calculate the numbers for other genres:

Science fiction books: 3 × 75 = 225

Mystery books: 2 × 75 = 150

Biographies: 4 × 75 = 300

MARK BRAINLIEST PLZZZ :))))))

Answer:

1. x=4

2. a=5

3. c=6

4. a=4

Step-by-step explanation:

#1. 2x+8+16

subtract 8 from both sides

Divide both numbers by 2

x=4

#2. 3a+2=17

subtract 2 from both sides

Divide both numbers by 3

a=5

#3. 3c-4=14

add both numbers by 4

Divide both numbers by 3

c=6

#4. 3a-5=7

add both numbers by 5

divide both numbers by 3

a=4

Answer: 202.60

Step-by-step explanation:

324.16/8 = 40.52

40.52*5 = 202.60

Answer:

x = 25 degrees

Step-by-step explanation:

So we know that the 4x, 2x + 10°, and x - 5° and the measures of the three interior angles of the triangle. The sum of the interior angles of a triangle is 180°.

Using this, we can conclude that the sum of 4x, 2x + 10°, and x - 5° is equal to 180°.

We can write this information as the equation:

4x + (2x + 10) + (x - 5) = 180

We can use this equation to find the value of x. To find the value of x by using the equation, we need to solve for x (put the equation into the form x = _).

Solve for x:

4x + (2x + 10) + (x - 5) = 180

4x + 2x + 10 + x - 5 = 180

Combine like terms.

7x + 5 = 180

Subtract 5 from both sides to get rid of the +5 on the left side.

7x = 180 - 5

Simplify.

7x = 175

Divide both sides by 7 to get rid of the coefficient of 7 on the left side.

x = 175 ÷ 7

Simplify.

x = 25.

x would be equal to 25°.

x = 25 degrees

I hope you find this helpful. :)

Answer:

61 degrees

Step-by-step explanation:

We need to take the inverse cosine of both sides as follows:

cos^-1(sin(29))=cos^-1(cos(x))

61=x

Answer:

y = -2x - 8

Step-by-step explanation:

Use the point slope form:  (y - y1) = m(x - x1)

(y - (-4)) = -2(x - (-2))

y + 4 = -2(x + 2)

y + 4 - 4 = -2x - 4 - 4

y = -2x - 8

Answer:  y = -2x - 8

Answer:

Step-by-step explanation:

y-y1=m(x-x1)

y+4=-2(x+2)

y+4=-2x-4

2x+y+8=0

or 2x+y=-8

Answer:

7 : 30

Step-by-step explanation:

this can be simplified by looking for a number that is common

we can first divide by 10 as this is common

1260/10 = 126

5400/10 = 540

we now have 126 : 540

we can divide by 2 as it is also common

126/2 = 63

540/ 2 = 270

we can also divide by 9 as its also common

63/9 = 7

270/9 = 30

the simplified answer is :

Answer: [tex]d=16.4[/tex]

Step-by-step explanation:

Step 1) Add 4 to both sides: [tex]d-4+4=12.4+4[/tex]

[tex]d=16.4[/tex]

Answer: D=16 please give brainliest

Step-by-step explanation:

D-4=12

first add +4 to both sides to reverse it

D=16 and to make sure its right

lets substutie for D

16-4=12

12=12

correct

Answer: 3 13/24

Step-by-step explanation:

Turn 7 1/6 into an Improper Fraction:

43/6 - 3 5/8

Turn 3 5/8 into an Improper Fraction:

43/6 - 29/8

Subtract:

43/6 - 29/8= 85/24

Turn 85/24 into a Mixed Number (Final Step):

85/24 = 3 13/24

Answer:

3 13/24

Hope this Helps!

To find the difference between 7 1/6 and 3 5/8, convert each mixed number to an improper fraction with a common denominator of 24, subtract the numerators to find 85/24, which simplified to a mixed number results in 3 13/24.

The difference between 7 1/6 and 3 5/8 can be found by converting each mixed number to an improper fraction with a common denominator and then subtracting the two. First, convert the mixed numbers to improper fractions. So, we have 7 1/6 as 43/6 and 3 5/8 as 29/8. To find a common denominator, we can use the least common multiple (LCM) of 6 and 8, which is 24. Then we convert the fractions as follows:

Now we can subtract the numerators and keep the common denominator:

172/24 - 87/24 = 85/24

To present the answer as a mixed number, we divide 85 by 24, which gives us:

3 13/24

Therefore, the difference between 7 1/6 and 3 5/8 is 3 13/24.

Answer:

x=-4.37 or 1.37

Step-by-step explanation:

The equation whose solution is to be found is;

[tex]1 + \frac{3}{x}= \frac{6}{ {x}^{2} } [/tex]

we now multiply through by

[tex]{x}^{2} [/tex]

This implies that;

[tex]( {x}^{2})1 +({x}^{2} \times \frac{3}{x})= {x}^{2} \times \frac{6}{ {x}^{2} }[/tex]

[tex] \implies{x}^{2}+3x=6[/tex]

Subtracting - 6 from both side we obtain;

[tex] {x}^{2} + 3x - 6 = 6 - 6[/tex]

[tex] \implies{x}^{2} + 3x - 6 =0[/tex]We now obtain a quadratic equation.So, let us use quadratic formula to find the solutions.

Comparing the equation ,

[tex]{x}^{2} + 3x - 6 = 0[/tex]

to the general quadratic formula,

[tex]a {x}^{2} + bx + c = 0[/tex]

we can say that,

a=1,b=3 and c=-6

putting this in to the quadratic formula,

[tex] \implies x = \frac{ -b\pm \sqrt{{b}^{2} - 4ac} }{2a} [/tex], we obtain

[tex]x = \frac{-3\pm \sqrt{ {3}^{2} - 4(1)(-6)} }{2(1)} [/tex]

Simplifying we obtain,

[tex] x = \frac{ -3\pm \sqrt{9+24}}{2} [/tex]

[tex] \implies x = \frac{-3-\sqrt{33} }{2}or \frac{-3+\sqrt{33}}{2} [/tex]

x=-4.37 or 1.37

Answer:

y=-2x+9

Step-by-step explanation:

slope formula

y= mx+ b

so 2x+y=9 can be rewritten by moving 2x to the other side of the equation:

1.

y=9-2x

2. (reorder)

Y= -2x+9

there you go

Answer:

The answer is Store 4

Step-by-step explanation:

As before the price increases, Store 4 has the highest price among other Stores. After price increases, Store 4 continued to has highest price among them

Store 4 had the highest demand both before and after the price increase.

We need to find which store had the highest demand both before and after the price increase.

Price increase means an increase in the unit price of an item or a decrease in the quality or quantity of substantially the same item.

From the given table, we can see that before the price increase store 4 has 200 sales and after the price increase, store 4 has 170 sales.

Therefore, store 4 had the highest demand both before and after the price increase.

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The Main Answer is the best estimation of the fraction of the batch that was left is [tex]59/168[/tex].

To find the fraction of the batch that was left, we first need to calculate how much was given away to the neighbors and how much Mr. Gallegos ate himself, then subtract those amounts from the total batch.

1. Given that Mr. Gallegos gave [tex]11/21[/tex] of the batch to his neighbors, and ate 1/8 of the batch himself.

2. We need to find the total amount given away and eaten: [tex]Total given away = 11/21[/tex] [tex]Total eaten by Mr. Gallegos = 1/8[/tex]

3. To find the fraction left, subtract the total given away and eaten from the total batch (1): [tex]Fraction left = 1 - (11/21 + 1/8)[/tex]

Now, let's calculate:

To subtract fractions, they must have the same denominator. The least common multiple (LCM) of [tex]21[/tex] and [tex]8[/tex] is [tex]168[/tex]. We'll rewrite the fractions with a common denominator of [tex]168[/tex]:

[tex]11/21 = (11/21) * (8/8) = 88/168 \\1/8 = (1/8) * (21/21) = 21/168[/tex]

So, the expression becomes:

[tex]Fraction left = 1 - (88/168 + 21/168) \\= 1 - (109/168)[/tex]

To subtract [tex]109/168[/tex] from [tex]168/168[/tex] (which equals 1), we'll subtract the numerators:

[tex]Fraction left = (168/168) - (109/168) \\= 59/168[/tex]

Therefore, the best estimation of the fraction of the batch that was left is [tex]59/168[/tex].

COMPLETE QUESTION:

Mr. Gallegos made a batch of muffins. He gave [tex]11/21[/tex] of the batch to his neighbors and ate [tex]1/8[/tex] of the batch himself. Which is the best estimation of the fraction of the batch that was left?

Jalen can make 4 pancakes with the whole mixture.

Jalen is making pancakes with a total of 1 L of pancake mixture.

He plans to use 1/4 L of mixture for each pancake.

To calculate how many pancakes he can make, we can set up an equation,
Vtotal / Vpancake = number of pancakes

Plugging in the given values:

1 L / (1/4) L = number of pancakes

On solving, we get

number of pancakes = 4

Answer:

1

Step-by-step explanation:

Using the definition

n[tex]C_{r}[/tex] = [tex]\frac{n!}{r!(n-r)!}[/tex]

where n! = n(n - 1)(n - 2) × 3 × 2 × 1, note that 0! = 1

Given

9[tex]C_{9}[/tex] = [tex]\frac{9!}{9!(9-9)!}[/tex] = [tex]\frac{9!}{9!(0!)}[/tex] = [tex]\frac{9!}{9!}[/tex] = 1

The value of 9C9 or C(9, 9) using Combination is 1.

In combinatorial notation, "9C9" represents the number of combinations of selecting 9 items from a set of 9 items without regard to their order. This can be calculated using the formula:

nCr = n! / (r!(n-r)!)

Here, n = 9 and r = 9.

So, 9C9 = 9! / (9!(9-9)!)

     = 9! / (9! × 0!)

Any number divided by 0 is undefined, so the denominator becomes 0!. However, 0! is defined as 1.

Therefore:

9C9 = 9! / (9! × 1)

     = 9! / 9!

     = 1

Hence, the value of 9C9 is 1.

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[tex]-38d-57>-19d+76\quad :\quad \begin{bmatrix}\mathrm{Solution:}\:&\:d<-7\:\\ \:\mathrm{Interval\:Notation:}&\:\left(-\infty \:,\:-7\right)\end{bmatrix}[/tex]

Solution:

Given inequality is:

[tex]-38d - 57 > -19d + 76[/tex]

We have to solve the inequality for "d"

From given,

[tex]-38d-57>-19d+76\\\\\mathrm{Add\:}57\mathrm{\:to\:both\:sides}\\\\-38d-57+57>-19d+76+57\\\\\mathrm{Simplify}\\\\-38d>-19d+133\\\\\mathrm{Add\:}19d\mathrm{\:to\:both\:sides}\\\\-38d+19d>-19d+133+19d\\\\[/tex]

[tex]\mathrm{Simplify}\\\\-19d>133\\\\Multiply\:both\:sides\:by\:-1\:\left(reverse\:the\:inequality\right)\\\\[/tex]

When we multiply or divide both sides of inequality by negative number, then we must flip the inequality sign

[tex]\left(-19d\right)\left(-1\right)<133\left(-1\right)\\\\\mathrm{Simplify}\\\\19d<-133\\\\\mathrm{Divide\:both\:sides\:by\:}19\\\\\frac{19d}{19}<\frac{-133}{19}\\\\\mathrm{Simplify}\\\\d<-7[/tex]

The solution set is given as:

[tex]-38d-57>-19d+76\quad :\quad \begin{bmatrix}\mathrm{Solution:}\:&\:d<-7\:\\ \:\mathrm{Interval\:Notation:}&\:\left(-\infty \:,\:-7\right)\end{bmatrix}[/tex]

Step-by-step explanation:

1) A number m is at least four

m ≥ 4  ['at least' = ≥ symbol]

2) 4x  ≤ 20x; x=2

4(2) ≤ 20(2)

8 ≤ 40

[Im not sure if this is a solution or and inequality :/ ]

3)  x < 5

--> On the line, draw the number 0, and the number five. 'x < 5' also means 'x is less that five.' So, draw a dot over the line before 5, and make an arrow going to the left of the page,

<-----------------------------------o   5

<---|---|---|---|---|---|---|---|---|---|---|---|---|---|--->

                          0

Hopefully this helps! :)

Answer:

504

Step-by-step explanation:

just an estimate, 860/30 is roughly 28 so 28x18=504

Answer: 4/7

Step-by-step explanation:

Step-by-step explanation:

The geometric mean between 3 and 8

[tex] \sqrt{3 \times 8} [/tex]

[tex]2 \sqrt{6} [/tex]

2× 2.45

4.9

Option C: 99° is the measure of angle 6

Explanation:

It is given that the measure of ∠5 is (10x-9)°

The measure of ∠7 is (9x)°

We need to determine the measure of ∠6

Since, from the diagram it is obvious that the angles 5 and 7 are vertical angles.

And, we know that the vertical angles are always equal.

Thus, we have,

              [tex]\angle 5 = \angle 7[/tex]

       [tex]10x-9=9x[/tex]

[tex]10x-9x-9=0[/tex]

           [tex]x-9=0[/tex]

                 [tex]x=9\\[/tex]

Thus, the value of x is 9.

Substituting [tex]x=9\\[/tex] in ∠5 and ∠7, we have,

[tex]\angle 5= (10x-9)^{\circ}[/tex]

    [tex]= (10(9)-9)^{\circ}[/tex]

    [tex]= (90-9)^{\circ}[/tex]

    [tex]= 81^{\circ}[/tex]

[tex]\angle 7=(9x)^{\circ}[/tex]

    [tex]=(9(9))^{\circ}[/tex]

    [tex]=81^{\circ}[/tex]

The measure of [tex]\angle 5 = 81^{\circ}[/tex] and [tex]\angle 7= 81^{\circ}[/tex]

Since, from the diagram we can see that the angles 6 and 7 are in a straight line.

And the angles in the straight line add up to 180°

Thus, we have,

[tex]\angle 6+\angle 7=180^{\circ}[/tex]

[tex]\angle 6+81^{\circ}=180^{\circ}[/tex]

         [tex]\angle 6=180^{\circ}-81^{\circ}[/tex]

         [tex]\angle 6 =99^{\circ}[/tex]

Thus, the measure of angle 6 is 99°

Therefore, Option C is the correct answer.

Answer:

C:99

Step-by-step explanation:

t is given that the measure of ∠5 is (10x-9)°

The measure of ∠7 is (9x)°

We need to determine the measure of ∠6

Since, from the diagram it is obvious that the angles 5 and 7 are vertical angles.

And, we know that the vertical angles are always equal.

Thus, we have,

\angle 5 = \angle 7∠5=∠7

10x-9=9x10x−9=9x

10x-9x-9=010x−9x−9=0

x-9=0x−9=0

\begin{lgathered}x=9\\\end{lgathered}

x=9

Thus, the value of x is 9.

Substituting \begin{lgathered}x=9\\\end{lgathered}

x=9

in ∠5 and ∠7, we have,

\angle 5= (10x-9)^{\circ}∠5=(10x−9)

∘

= (10(9)-9)^{\circ}=(10(9)−9)

∘

= (90-9)^{\circ}=(90−9)

∘

= 81^{\circ}=81

∘

\angle 7=(9x)^{\circ}∠7=(9x)

∘

=(9(9))^{\circ}=(9(9))

∘

=81^{\circ}=81

∘

The measure of \angle 5 = 81^{\circ}∠5=81

∘

and \angle 7= 81^{\circ}∠7=81

∘

Since, from the diagram we can see that the angles 6 and 7 are in a straight line.

And the angles in the straight line add up to 180°

Thus, we have,

\angle 6+\angle 7=180^{\circ}∠6+∠7=180

∘

\angle 6+81^{\circ}=180^{\circ}∠6+81

∘

=180

∘

\angle 6=180^{\circ}-81^{\circ}∠6=180

∘

−81

∘

\angle 6 =99^{\circ}∠6=99

∘

Thus, the measure of angle 6 is 99°

Therefore, Option C is the correct answer.

Answer:

Angle ACB = 67

Step-by-step explanation:

Angle DAB and BAC are supplementary angles. This means they add up to 180 degrees. So subtract 127 from 180 to find angle BAC which is 53. We know that a triangle's degrees add up to 180. So take 180 and subtract (60+ 53) to find angle ACB.

The angles around point A should add up to 360° ∠ACB is 173°.

In the given diagram where ∠ABC is 60° and ∠DAB is 127°, you can find ∠ACB by using the fact that the angles around point A should add up to 360°.

∠DAB + ∠CAB + ∠CBA = 360°

Given that ∠DAB = 127° and ∠CAB is 60°, you can solve for ∠CBA:

127° + 60° + ∠CBA = 360°

Combine the known angles on the left side:

187° + ∠CBA = 360°

Now, isolate ∠CBA:

∠CBA = 360° - 187°

∠CBA = 173°

so, ∠ACB is 173°.

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Answer:

Problem #1:  x = 2.5

Problem #2:  x = 10/7

Step-by-step explanation:

Step 1:  Find the value of x in (8x - 20)

8x - 20 = 0

Add 20 to both sides

8x - 20 + 20 = 0 + 20

8x = 20

Divide both sides by 8

8x / 8 = 20 / 8

x = 2.5

Answer:  x = 2.5

Step 2:  Find the value of x in (14x - 20)

14x - 20 = 0

Add 20 to both sides

14x - 20 + 20 = 0 + 20

14x = 20

Divide both sides by 14

14x / 14 = 20 / 14

x = 10/7

Answer:  x = 10/7